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Myhill's property is the quality of musical scales or collections with exactly two specific intervals for every generic interval, and thus also have the properties of cardinality equals variety, structure implies multiplicity, and being a well formed generated collection.
Melodies can be based on a diatonic scale and maintain its tonal characteristics but contain many accidentals, up to all twelve tones of the chromatic scale, such as the opening of Henry Purcell's "Thy Hand, Belinda" from Dido and Aeneas (1689) with figured bass), which features eleven of twelve pitches while chromatically descending by half steps, [1] the missing pitch being sung later.
For instance, in the B-natural minor diatonic scale, the three notes are B–C ♯ –D. This is not true for all kinds of scales. For instance, in a chromatic scale, there are four notes from B to D: B–C–C ♯ –D. This is the reason interval numbers are also called diatonic numbers, and this convention is called diatonic numbering.
In music theory a diatonic scale is a heptatonic (seven-note) scale that includes five whole steps (whole tones) and two half steps (semitones) in each octave, in which the two half steps are separated from each other by either two or three whole steps. In other words, the half steps are maximally separated from each other.
The most important scale in the Western tradition is the diatonic scale but many others have been used and proposed in various historical eras and parts of the world. Each pitch corresponds to a particular frequency, expressed in hertz (Hz), sometimes referred to as cycles per second (c.p.s.).
In classical music from Western culture, a fifth is the interval from the first to the last of the first five consecutive notes in a diatonic scale. [2] The perfect fifth (often abbreviated P5) spans seven semitones, while the diminished fifth spans six and the augmented fifth spans eight semitones. For example, the interval from C to G is a ...
7 diatonic semitones (m2) are ≈ 90.225 cents (100 − 5ε), 5 chromatic semitones (A1) are ≈ 113.685 cents (100 + 7ε), and their average is 100 cents. In short, similar differences in width are observed for all interval types, except for unisons and octaves, and they are all multiples of ε , the difference between the Pythagorean fifth ...
The Aeolian mode is a musical mode or, in modern usage, a diatonic scale also called the natural minor scale.On the piano, using only the white keys, it is the scale that starts with A and continues to the next A only striking white keys.